970309 ÷ 19 
We want to figure out the number of times 970309 can be divided by 19.

On to step 1:
19 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 19

Moving on to step 2:
If we divide 97 by 19, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 2 after subtracting 95 from 97.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 19

Moving on to step 3:
When dividing 20 by 19, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we subtract 19 from 20, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 19

Step 4:
19 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 510.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 19

Going ahead to step 5:
When dividing 130 by 19, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 5106.0
The remainder is 16 after subtracting 114 from 130.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 19

On to step 6:
When dividing 169 by 19, we get 8 with a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 51068.0
Subtracting 152 from 169 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
19 goes into 170 8 times with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 51068.8
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
When dividing 180 by 19, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 51068.89
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
When dividing 90 by 19, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 51068.894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 51068.8947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 51068.89473
Subtracting 57 from 70 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
130 divided by 19 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 51068.894736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 13:
When dividing 160 by 19, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 51068.8947368
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
80 divided by 19 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 51068.89473684
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 51068.89473684 with a remainder of 4e-09.